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Common Core: 5th Grade Math : Interpret Division of a Whole Number by a Unit Fraction: CCSS.Math.Content.5.NF.B.7b

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Example Questions

Example Question #1 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Three girls divide half of a bag of popcorn equally so that all three of them get the same amount of popcorn. How much popcorn does each girl get?

Possible Answers:

$\frac{2}{5}\ of\ the\ bag$ $\displaystyle \frac{2}{5}\ of\ the\ bag$

$\frac{1}{3}\ of\ the\ bag$ $\displaystyle \frac{1}{3}\ of\ the\ bag$

$\frac{1}{2}\ of\ the\ bag$ $\displaystyle \frac{1}{2}\ of\ the\ bag$

$\frac{1}{4}\ of\ the\ bag$ $\displaystyle \frac{1}{4}\ of\ the\ bag$

$\frac{1}{6}\ of\ the\ bag$ $\displaystyle \frac{1}{6}\ of\ the\ bag$

Correct answer:

$\frac{1}{6}\ of\ the\ bag$ $\displaystyle \frac{1}{6}\ of\ the\ bag$

Explanation:

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Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Megan has $\displaystyle 13$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 48$

$\displaystyle 44$

$\displaystyle 40$

$\displaystyle 52$

$\displaystyle 56$

Correct answer:

$\displaystyle 52$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 13$ wholes?

To solve $13\div\frac{1}{4}$ $\displaystyle 13\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{13}{1}\times\frac{4}{1}=\frac{52}{1}=52$ $\displaystyle \frac{13}{1}\times\frac{4}{1}=\frac{52}{1}=52$

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Example Question #3 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Kalea has $\displaystyle 12$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 56$

$\displaystyle 40$

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 48$

Correct answer:

$\displaystyle 48$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 12$ wholes?

To solve $12\div\frac{1}{4}$ $\displaystyle 12\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{4}{1}=\frac{48}{1}=48$ $\displaystyle \frac{12}{1}\times\frac{4}{1}=\frac{48}{1}=48$

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Example Question #4 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Laura has $\displaystyle 11$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 40$

$\displaystyle 56$

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 48$

Correct answer:

$\displaystyle 44$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 11$ wholes?

To solve $11\div\frac{1}{4}$ $\displaystyle 11\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{11}{1}\times\frac{4}{1}=\frac{44}{1}=44$ $\displaystyle \frac{11}{1}\times\frac{4}{1}=\frac{44}{1}=44$

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Example Question #1251 : Ssat Middle Level Quantitative (Math)

Kara has $\displaystyle 10$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 44$

$\displaystyle 52$

$\displaystyle 56$

$\displaystyle 40$

$\displaystyle 48$

Correct answer:

$\displaystyle 40$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 10$ wholes?

To solve $10\div\frac{1}{4}$ $\displaystyle 10\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{10}{1}\times\frac{4}{1}=\frac{40}{1}=40$ $\displaystyle \frac{10}{1}\times\frac{4}{1}=\frac{40}{1}=40$

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Example Question #5 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Katie has $\displaystyle 9$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 24$

$\displaystyle 20$

$\displaystyle 36$

$\displaystyle 32$

$\displaystyle 28$

Correct answer:

$\displaystyle 36$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 9$ wholes?

To solve $9\div\frac{1}{4}$ $\displaystyle 9\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{9}{1}\times\frac{4}{1}=\frac{36}{1}=36$ $\displaystyle \frac{9}{1}\times\frac{4}{1}=\frac{36}{1}=36$

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Example Question #1 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Sarah has $\displaystyle 8$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 20$

$\displaystyle 32$

$\displaystyle 28$

$\displaystyle 24$

$\displaystyle 36$

Correct answer:

$\displaystyle 32$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 8$ wholes?

To solve $8\div\frac{1}{4}$ $\displaystyle 8\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{8}{1}\times\frac{4}{1}=\frac{32}{1}=32$ $\displaystyle \frac{8}{1}\times\frac{4}{1}=\frac{32}{1}=32$

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Example Question #1261 : Ssat Middle Level Quantitative (Math)

Sarah has $\displaystyle 7$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 32$

$\displaystyle 28$

$\displaystyle 30$

$\displaystyle 16$

$\displaystyle 24$

Correct answer:

$\displaystyle 28$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 7$ wholes?

To solve $7\div\frac{1}{4}$ $\displaystyle 7\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{7}{1}\times\frac{4}{1}=\frac{28}{1}=28$ $\displaystyle \frac{7}{1}\times\frac{4}{1}=\frac{28}{1}=28$

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Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Kaitlyn has $\displaystyle 6$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 24$

$\displaystyle 20$

$\displaystyle 16$

$\displaystyle 8$

$\displaystyle 4$

Correct answer:

$\displaystyle 24$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 6$ wholes?

To solve $6\div\frac{1}{4}$ $\displaystyle 6\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{6}{1}\times\frac{4}{1}=\frac{24}{1}=24$ $\displaystyle \frac{6}{1}\times\frac{4}{1}=\frac{24}{1}=24$

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Example Question #601 : Numbers And Operations

Sarah has $\displaystyle 2$ gallons of milk. Each glass holds $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a gallon. How many glasses can she fill?

Possible Answers:

$\displaystyle 16$

$\displaystyle 12$

$\displaystyle 20$

$\displaystyle 8$

$\displaystyle 24$

Correct answer:

$\displaystyle 8$

Explanation:

Think: How many $\frac{1}{4}$ $\displaystyle \frac{1}{4}$s are in $\displaystyle 2$ wholes?

To solve $2\div\frac{1}{4}$ $\displaystyle 2\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{2}{1}\times\frac{4}{1}=\frac{8}{1}=8$ $\displaystyle \frac{2}{1}\times\frac{4}{1}=\frac{8}{1}=8$

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Common Core: 5th Grade Math : Interpret Division of a Whole Number by a Unit Fraction: CCSS.Math.Content.5.NF.B.7b

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #1 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #3 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #4 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #1251 : Ssat Middle Level Quantitative (Math)

Example Question #5 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #1 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #1261 : Ssat Middle Level Quantitative (Math)

Example Question #2 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #601 : Numbers And Operations

All Common Core: 5th Grade Math Resources

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